The present paper studies so-called deep image prior (DIP) techniques in the context of ill-posed inverse problems. DIP networks have been recently introduced for applications in image processing; also first experimental results for applying DIP to inverse problems have been reported. This paper aims at discussing different interpretations of DIP and to obtain analytic results for specific network designs and linear operators. The main contribution is to introduce the idea of viewing these approaches as the optimization of Tikhonov functionals rather than optimizing networks. Besides theoretical results, we present numerical verifications.

中文翻译：

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通过体系结构进行正则化：解决逆问题的深层先验方法

本文研究了不适定逆问题背景下的所谓深度图像先验（DIP）技术。DIP网络最近被引入以用于图像处理。还报道了将DIP应用于反问题的第一个实验结果。本文旨在讨论DIP的不同解释，并获得针对特定网络设计和线性运营商的分析结果。主要贡献是引入了将这些方法视为优化Tikhonov功能而不是优化网络的想法。除了理论结果，我们还提供数值验证。